The compressive strength of samples of cement can be modeled by a normal distribution with a mean of 6000 kilograms per square centimeter and a standard deviation of 100 kilograms per square centimeter. (a) What is the probability that a samples strength is less than 6250 kilograms per square centimeter? (b) What is the probability that a samples strength is between 5800 and 5900 kilograms per square centimeter? (c) What strength is exceeded by 95% of the samples?

Answer

a

b

c

Question

From the question we are told that

   The mean is  

    The standard deviation is  

Generally the probability that a samples strength is less than 6250 kilograms per square centimeter is mathematically represented as

Generally

From the z-table  

Generally the probability that a samples strength is between 5800 and 5900 kilograms per square centimeter is mathematically represented as

=>

=>  

From the z-table  

and

So

=>      

Generally the strength that is exceeded by 95% is mathematically evaluated  as

=>

From the normal distribution table  the critical value  of  0.05 is  

So

=>  

=>  

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!